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Комментарии : 11   
@WillamGorsuch
@WillamGorsuch 2 месяца назад
n = 4. It does not have to be complicated; I KNOW IT!!!
@DommarajuJyothi
@DommarajuJyothi 2 месяца назад
Good
@nasrullahhusnan2289
@nasrullahhusnan2289 2 месяца назад
5^n=544+(3^n) 5^n>=544 --> n>=4 as 5⁴=625 For n>=4, 3^n>=81 5^n>=625 (5^n)-3^n>=625-81 >=544 As (5^n)-(3^n)=544, x=4 3^n=(5^n)-544 3^n>544 --> n>=6 as 3⁶=729
@DommarajuJyothi
@DommarajuJyothi 2 месяца назад
👏👏
@nasrullahhusnan2289
@nasrullahhusnan2289 2 месяца назад
How come you suddenly chose (5,3,2) for (a,b,n) when in fact there are many triplets to choose?
@WillamGorsuch
@WillamGorsuch 2 месяца назад
Would (a,b,n) actually be (5,3,4)?
@nasrullahhusnan2289
@nasrullahhusnan2289 2 месяца назад
​@@WillamGorsuch: a=5 and b=3 ii clear from the very beginning. But n=2?
@DommarajuJyothi
@DommarajuJyothi 2 месяца назад
"I chose a = 5 and b = 3 because the equation has the form 'a^n - b^n = k', where k is a constant. This form is reminiscent of the difference of powers formula, which is often used in algebra. By choosing a and b to be integers, I was able to simplify the equation and test possible values of n. Sorry for late reply
@DommarajuJyothi
@DommarajuJyothi 2 месяца назад
Yes, that's correct !
@WillamGorsuch
@WillamGorsuch 2 месяца назад
@@DommarajuJyothi Was I correct?
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